Vector domain decomposition schemes for parabolic equations

DOI10.1134/S0965542517090135zbMath1454.65110OpenAlexW2760460994MaRDI QIDQ1687810

Petr N. Vabishchevich

Publication date: 4 January 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517090135

zbMATH Keywords

finite element methodevolution equationparabolic equationdifference schemedomain decomposition methodstability of difference schemes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (3)

An efficient GPU-based fractional-step domain decomposition scheme for the reaction-diffusion equation ⋮ Solution decomposition schemes for second-order evolution equations ⋮ Subdomain solution decomposition method for nonstationary problems

Cites Work

• Domain decomposition methods for the numerical solution of partial differential equations
• Vector additive difference schemes for first-order evolution equations.
• Additive Schwarz algorithms for parabolic convection-diffusion equations
• Regionally additive difference schemes with a stabilizing correction for parabolic problems
• An alternating explicit-implicit domain decomposition method for the parallel solution of parabolic equations
• A substructuring domain decomposition scheme for unsteady problems
• IPIC domain decomposition algorithm for parabolic problems
• ADI method -- domain decomposition
• Numerical analysis of the rectangular domain decomposition method
• Domain Decomposition Methods With Overlapping Subdomains For The Time-Dependent Problems Of Mathematical Physics
• Multiplicative Schwarz Methods for Parabolic Problems
• Domain Decomposition Operator Splittings for the Solution of Parabolic Equations
• Stabilized Explicit-Implicit Domain Decomposition Methods for the Numerical Solution of Parabolic Equations
• Domain decomposition schemes for the stokes equation
• Stability and error analysis on partially implicit schemes
• Regularization of difference schemes
• Difference schemes with domain decomposition for solving non-stationary problems
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